DegreesAndMultiplicitiesC4ad_0or2mod4 := [
[1, 1],
[1/2*q*Phi1^2*Phi3*Phi4, 1],
[1/2*q*Phi6*Phi8, 1],
[1/2*q*Phi3*Phi8, 1],
[1/2*q*Phi2^2*Phi4*Phi6, 1],
[Phi1*Phi4*Phi8, 1/2*q],
[Phi2*Phi4*Phi8, 1/2*q-1],
[1/2*q^2*Phi1^2*Phi3*Phi8, 1],
[1/2*q^2*Phi4*Phi6*Phi8, 1],
[1/2*q^2*Phi2^2*Phi6*Phi8, 1],
[1/2*q^2*Phi3*Phi4*Phi8, 1],
[Phi1^2*Phi3*Phi4*Phi8, 1/2*q],
[Phi2^2*Phi4*Phi6*Phi8, 1/2*q-1],
[Phi1*Phi3*Phi4*Phi6*Phi8, 1/2*q],
[q^3*Phi4^2*Phi8, 1],
[Phi2*Phi3*Phi4*Phi6*Phi8, 1/2*q-1],
[1/2*q*Phi1^3*Phi3*Phi4*Phi8, 1/2*q],
[1/2*q*Phi1*Phi4^2*Phi6*Phi8, 1/2*q],
[1/2*q^4*Phi1^2*Phi2^2*Phi3*Phi6, 1],
[1/2*q*Phi1^2*Phi2*Phi3*Phi4*Phi8, 1/2*q-1],
[1/2*q*Phi1*Phi2^2*Phi4*Phi6*Phi8, 1/2*q],
[1/2*q^4*Phi3*Phi6*Phi8, 2],
[1/2*q*Phi1*Phi3*Phi4^2*Phi8, 1/2*q],
[1/2*q*Phi2*Phi4^2*Phi6*Phi8, 1/2*q-1],
[1/2*q^4*Phi3*Phi4^2*Phi6, 1],
[1/2*q*Phi2^3*Phi4*Phi6*Phi8, 1/2*q-1],
[1/2*q*Phi2*Phi3*Phi4^2*Phi8, 1/2*q-1],
[Phi1^2*Phi3*Phi4*Phi6*Phi8, 1/8*q*(q-2)],
[Phi1^2*Phi3*Phi4^2*Phi8, 1/2*q],
[q*Phi1*Phi3*Phi4*Phi6*Phi8, 1/2*q],
[Phi1^2*Phi2^2*Phi3*Phi6*Phi8, 1/4*q^2],
[Phi1*Phi2*Phi3*Phi4*Phi6*Phi8, 1/2*q*(q-2)],
[q^4*Phi3*Phi6*Phi8, 1],
[q*Phi2*Phi3*Phi4*Phi6*Phi8, 1/2*q-1],
[Phi2^2*Phi4^2*Phi6*Phi8, 1/2*q-1],
[Phi2^2*Phi3*Phi4*Phi6*Phi8, 1/8*(q-2)*(q-4)],
[Phi1^3*Phi3*Phi4^2*Phi8, 1/4*q*(q-2)],
[q*Phi1^2*Phi3*Phi4*Phi6*Phi8, 1/2*q],
[q*Phi1^2*Phi3*Phi4^2*Phi8, 1/2*q],
[q^2*Phi1*Phi3*Phi4*Phi6*Phi8, 1/2*q],
[Phi1^2*Phi2*Phi3*Phi4^2*Phi8, 1/4*q*(q-2)],
[Phi1*Phi2^2*Phi4^2*Phi6*Phi8, 1/4*q*(q-2)],
[q^5*Phi4^2*Phi8, 1],
[q^2*Phi2*Phi3*Phi4*Phi6*Phi8, 1/2*q-1],
[q*Phi2^2*Phi4^2*Phi6*Phi8, 1/2*q-1],
[q*Phi2^2*Phi3*Phi4*Phi6*Phi8, 1/2*q-1],
[Phi2^3*Phi4^2*Phi6*Phi8, 1/4*(q-2)*(q-4)],
[1/2*q*Phi1^3*Phi3*Phi4*Phi6*Phi8, 1/2*q],
[1/2*q^6*Phi1^2*Phi3*Phi8, 1],
[1/2*q*Phi1^2*Phi2*Phi3*Phi4*Phi6*Phi8, 1/2*q-1],
[1/2*q^6*Phi4*Phi6*Phi8, 1],
[1/2*q*Phi1*Phi3*Phi4^2*Phi6*Phi8, q],
[1/2*q^6*Phi2^2*Phi6*Phi8, 1],
[1/2*q*Phi1*Phi2^2*Phi3*Phi4*Phi6*Phi8, 1/2*q],
[1/2*q^6*Phi3*Phi4*Phi8, 1],
[1/2*q*Phi2*Phi3*Phi4^2*Phi6*Phi8, q-2],
[1/2*q*Phi2^3*Phi3*Phi4*Phi6*Phi8, 1/2*q-1],
[q*Phi1^3*Phi3*Phi4^2*Phi8, 1/2*q],
[Phi1^2*Phi3*Phi4^2*Phi6*Phi8, 3/8*q*(q-2)],
[q^2*Phi1^2*Phi3*Phi4^2*Phi8, 1/2*q],
[q^3*Phi1*Phi3*Phi4*Phi6*Phi8, 1/2*q],
[Phi1^3*Phi2^3*Phi3*Phi6*Phi8, 1/4*q^2],
[Phi1^2*Phi2^2*Phi3*Phi4*Phi6*Phi8, 1/4*q*(q-2)],
[Phi1*Phi2*Phi3*Phi4^2*Phi6*Phi8, 3/4*q*(q-2)],
[q^3*Phi2*Phi3*Phi4*Phi6*Phi8, 1/2*q-1],
[q^2*Phi2^2*Phi4^2*Phi6*Phi8, 1/2*q-1],
[q*Phi2^3*Phi4^2*Phi6*Phi8, 1/2*q-1],
[Phi2^2*Phi3*Phi4^2*Phi6*Phi8, 3/8*(q-2)*(q-4)],
[1/2*q*Phi1^4*Phi3*Phi4*Phi6*Phi8, 1/8*q*(q-2)],
[1/2*q^2*Phi1^3*Phi3*Phi4*Phi6*Phi8, 1/2*q],
[1/2*q*Phi1^4*Phi2^2*Phi3*Phi6*Phi8, 1/4*q^2],
[1/2*q^4*Phi1^3*Phi3*Phi4*Phi8, 1/2*q],
[1/2*q*Phi1^3*Phi2*Phi3*Phi4*Phi6*Phi8, 1/2*q*(q-2)],
[1/2*q*Phi1^2*Phi3*Phi4^2*Phi6*Phi8, 1/4*q*(q-2)],
[1/2*q^4*Phi1*Phi4^2*Phi6*Phi8, 1/2*q],
[1/2*q^9*Phi1^2*Phi3*Phi4, 1],
[1/2*q^2*Phi1^2*Phi2*Phi3*Phi4*Phi6*Phi8, 1/2*q-1],
[1/2*q^9*Phi6*Phi8, 1],
[1/2*q^2*Phi1*Phi3*Phi4^2*Phi6*Phi8, q],
[1/2*q^4*Phi1^2*Phi2*Phi3*Phi4*Phi8, 1/2*q-1],
[1/2*q*Phi1^2*Phi2^2*Phi3*Phi4*Phi6*Phi8, 3/4*q^2-q+1],
[1/2*q^4*Phi1*Phi2^2*Phi4*Phi6*Phi8, 1/2*q],
[1/2*q^4*Phi1*Phi3*Phi4^2*Phi8, 1/2*q],
[1/2*q*Phi1*Phi2*Phi3*Phi4^2*Phi6*Phi8, q*(q-2)],
[1/2*q^4*Phi2*Phi4^2*Phi6*Phi8, 1/2*q-1],
[1/2*q^9*Phi3*Phi8, 1],
[1/2*q^2*Phi1*Phi2^2*Phi3*Phi4*Phi6*Phi8, 1/2*q],
[1/2*q^9*Phi2^2*Phi4*Phi6, 1],
[1/2*q^2*Phi2*Phi3*Phi4^2*Phi6*Phi8, q-2],
[1/2*q*Phi1^2*Phi2^4*Phi3*Phi6*Phi8, 1/4*q^2],
[1/2*q*Phi1*Phi2^3*Phi3*Phi4*Phi6*Phi8, 1/2*q*(q-2)],
[1/2*q^4*Phi2^3*Phi4*Phi6*Phi8, 1/2*q-1],
[1/2*q^4*Phi2*Phi3*Phi4^2*Phi8, 1/2*q-1],
[1/2*q*Phi2^2*Phi3*Phi4^2*Phi6*Phi8, 1/4*(q-2)*(q-4)],
[1/2*q^2*Phi2^3*Phi3*Phi4*Phi6*Phi8, 1/2*q-1],
[1/2*q*Phi2^4*Phi3*Phi4*Phi6*Phi8, 1/8*(q-2)*(q-4)],
[q*Phi1^4*Phi3*Phi4^2*Phi8, 1/4*q*(q-2)],
[Phi1^3*Phi3*Phi4^2*Phi6*Phi8, 1/12*q*(q-2)*(q-4)],
[q^2*Phi1^3*Phi3*Phi4^2*Phi8, 1/2*q],
[q^3*Phi1^2*Phi3*Phi4*Phi6*Phi8, 1/2*q],
[q*Phi1^2*Phi3*Phi4^2*Phi6*Phi8, 3/4*q*(q-2)],
[Phi1^3*Phi2^2*Phi3*Phi4*Phi6*Phi8, 1/4*q^3],
[q*Phi1^3*Phi2*Phi3*Phi4^2*Phi8, 1/4*q*(q-2)],
[q^3*Phi1^2*Phi3*Phi4^2*Phi8, 1/2*q],
[Phi1^2*Phi2*Phi3*Phi4^2*Phi6*Phi8, 1/2*q*(q-1)*(q-2)],
[q^4*Phi1*Phi3*Phi4*Phi6*Phi8, 1/2*q],
[Phi1^3*Phi2^2*Phi3*Phi4^2*Phi8, 1/6*q*(q-1)*(q+1)],
[Phi1^2*Phi2^3*Phi4^2*Phi6*Phi8, 1/6*q*(q-1)*(q+1)],
[q*Phi1*Phi2*Phi3*Phi4^2*Phi6*Phi8, 3/2*q*(q-2)],
[Phi1^2*Phi2^3*Phi3*Phi4*Phi6*Phi8, 1/4*q^2*(q-2)],
[q*Phi1*Phi2^3*Phi4^2*Phi6*Phi8, 1/4*q*(q-2)],
[Phi1*Phi2^2*Phi3*Phi4^2*Phi6*Phi8, 1/2*q*(q-2)*(q-3)],
[q^4*Phi2*Phi3*Phi4*Phi6*Phi8, 1/2*q-1],
[q^3*Phi2^2*Phi4^2*Phi6*Phi8, 1/2*q-1],
[q^3*Phi2^2*Phi3*Phi4*Phi6*Phi8, 1/2*q-1],
[q^2*Phi2^3*Phi4^2*Phi6*Phi8, 1/2*q-1],
[q*Phi2^2*Phi3*Phi4^2*Phi6*Phi8, 3/4*(q-2)*(q-4)],
[q*Phi2^4*Phi4^2*Phi6*Phi8, 1/4*(q-2)*(q-4)],
[Phi2^3*Phi3*Phi4^2*Phi6*Phi8, 1/12*(q-6)*(q-2)*(q-4)],
[Phi1^4*Phi3*Phi4^2*Phi6*Phi8, 1/384*q*(q-6)*(q-2)*(q-4)],
[q*Phi1^3*Phi3*Phi4^2*Phi6*Phi8, 1/12*q*(q-2)*(q-4)],
[Phi1^4*Phi2^2*Phi3*Phi4*Phi6*Phi8, 1/32*q^3*(q-2)],
[q^3*Phi1^3*Phi3*Phi4^2*Phi8, 1/4*q*(q-2)],
[Phi1^3*Phi2*Phi3*Phi4^2*Phi6*Phi8, 1/24*q*(q-1)*(q-2)^2],
[q^4*Phi1^2*Phi3*Phi4*Phi6*Phi8, 1/8*q*(q-2)],
[q^2*Phi1^2*Phi3*Phi4^2*Phi6*Phi8, 3/8*q*(q-2)],
[Phi1^4*Phi2^2*Phi3*Phi4^2*Phi8, 1/12*q^2*(q-1)*(q+1)],
[q*Phi1^3*Phi2^2*Phi3*Phi4*Phi6*Phi8, 1/4*q^3],
[Phi1^3*Phi2^3*Phi4^2*Phi6*Phi8, 1/12*q^2*(q-1)*(q+1)],
[q^6*Phi1^2*Phi3*Phi4*Phi8, 1/2*q],
[q^9*Phi1*Phi4*Phi8, 1/2*q],
[q^4*Phi1^2*Phi3*Phi4^2*Phi8, 1/2*q],
[q*Phi1^2*Phi2*Phi3*Phi4^2*Phi6*Phi8, 1/2*q*(q-1)*(q-2)],
[q^5*Phi1*Phi3*Phi4*Phi6*Phi8, 1/2*q],
[Phi1^4*Phi2^4*Phi3*Phi6*Phi8, 1/32*q^2*(q-2)*(q+2)],
[q^2*Phi1^3*Phi2^3*Phi3*Phi6*Phi8, 1/4*q^2],
[Phi1^4*Phi2^4*Phi3*Phi4^2*Phi6, 1/8*q^4],
[Phi1^3*Phi2^3*Phi3*Phi4*Phi6*Phi8, 1/4*q^2*(q^2-q-1)],
[q^4*Phi1^2*Phi2^2*Phi3*Phi6*Phi8, 1/4*q^2],
[q*Phi1^3*Phi2^2*Phi3*Phi4^2*Phi8, 1/6*q*(q-1)*(q+1)],
[q^2*Phi1^2*Phi2^2*Phi3*Phi4*Phi6*Phi8, 1/4*q*(q-2)],
[q^16, 1],
[q*Phi1^2*Phi2^3*Phi4^2*Phi6*Phi8, 1/6*q*(q-1)*(q+1)],
[q^3*Phi1^2*Phi2*Phi3*Phi4^2*Phi8, 1/4*q*(q-2)],
[Phi1^2*Phi2^2*Phi3*Phi4^2*Phi6*Phi8, 1/64*q^2*(q-2)*(7*q-18)],
[q^4*Phi1*Phi2*Phi3*Phi4*Phi6*Phi8, 1/2*q*(q-2)],
[q^3*Phi1*Phi2^2*Phi4^2*Phi6*Phi8, 1/4*q*(q-2)],
[q^2*Phi1*Phi2*Phi3*Phi4^2*Phi6*Phi8, 3/4*q*(q-2)],
[Phi1^3*Phi2^3*Phi3*Phi4^2*Phi8, 1/12*q*(q-1)*(q-2)*(q+1)],
[q*Phi1^2*Phi2^3*Phi3*Phi4*Phi6*Phi8, 1/4*q^2*(q-2)],
[Phi1^2*Phi2^4*Phi4^2*Phi6*Phi8, 1/12*q*(q-1)*(q-2)*(q+1)],
[q^9*Phi2*Phi4*Phi8, 1/2*q-1],
[q^6*Phi2^2*Phi4*Phi6*Phi8, 1/2*q-1],
[q*Phi1*Phi2^2*Phi3*Phi4^2*Phi6*Phi8, 1/2*q*(q-2)*(q-3)],
[q^5*Phi2*Phi3*Phi4*Phi6*Phi8, 1/2*q-1],
[q^4*Phi2^2*Phi4^2*Phi6*Phi8, 1/2*q-1],
[Phi1^2*Phi2^4*Phi3*Phi4*Phi6*Phi8, 1/32*q^2*(q-2)*(q-4)],
[Phi1*Phi2^3*Phi3*Phi4^2*Phi6*Phi8, 1/24*q*(q-2)*(q-3)*(q-4)],
[q^4*Phi2^2*Phi3*Phi4*Phi6*Phi8, 1/8*(q-2)*(q-4)],
[q^3*Phi2^3*Phi4^2*Phi6*Phi8, 1/4*(q-2)*(q-4)],
[q^2*Phi2^2*Phi3*Phi4^2*Phi6*Phi8, 3/8*(q-2)*(q-4)],
[q*Phi2^3*Phi3*Phi4^2*Phi6*Phi8, 1/12*(q-6)*(q-2)*(q-4)],
[Phi2^4*Phi3*Phi4^2*Phi6*Phi8, 1/384*(q-6)*(q-2)*(q-8)*(q-4)]
];